Almost g.o. spaces in dimensions 6 and 7

被引：8

作者：

Dusek, Zdenek ^{[1
]}

机构：

[1] Palacky Univ, Dept Algebra & Geometry, Olomouc 77900, Czech Republic

来源：

ADVANCES IN GEOMETRY | 2009年 / 9卷 / 01期

关键词：

Pseudo-Riemannian homogeneous space; g.o; space; geodesic graph; HOMOGENEOUS RIEMANNIAN-MANIFOLDS; GEODESIC GRAPHS; HEISENBERG TYPE;

D O I：

10.1515/ADVGEOM.2009.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some pseudo-Riemannian modifications of 6-dimensional and 7-dimensional Riemannian g.o. spaces are presented as pseudo-Riemannian homogeneous spaces with noncompact isotropy groups. These examples have the property that all geodesics are homogeneous up to a set of measure zero. Based on these examples, conjectures on geodesic graphs are formulated.

引用

页码：99 / 110

页数：12

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